1
Drivers of cloud droplet number variability in the summertime 1
Southeast United States 2
Aikaterini Bougiatioti1,2, Athanasios Nenes2,3,4, Jack J. Lin2,a, Charles A. Brock5, Joost A. de Gouw5,6,b, Jin 3 Liao5,6,c,d, Ann M. Middlebrook5, André Welti5,6,e 4
1Institute for Environmental Research & Sustainable Development, National Observatory of Athens, P. 5 Penteli, GR-15236, Greece 6
2School of Earth & Atmospheric Sciences, Georgia Institute of Technology, Atlanta, GA 30332, USA 7 3Laboratory of Atmospheric Processes and their Impacts, School of Architecture, Civil & Environmental 8
Engineering, École Polytechnique Fédérale de Lausanne, CH-1015, Lausanne, Switzerland 9 4Institute for Chemical Engineering Sciences, Foundation for Research and Technology Hellas, Patras, GR-10
26504, Greece 11 5Chemical Sciences Division, NOAA Earth System Research Laboratory, Boulder, CO, 80305, USA 12 6Cooperative Institute for Research in Environmental Sciences, Univ. of Colorado, Boulder, CO, 80309, 13
USA 14 a now at: Nano and Molecular Systems Research Unit, Box 3000, FI-90014 University of Oulu, Oulu, 15
Finland 16 b now at: Department of Chemistry and Biochemistry, University of Colorado Boulder, Boulder, CO, USA 17 c now at: Atmospheric Chemistry and Dynamic Laboratory, NASA Goddard Space Flight Center, 18
Greenbelt, MD, USA 19 d now at: Universities Space Research Association, GESTAR, Columbia, MD, USA 20 e now at: Atmospheric Composition Research Unit, Finnish Meteorological Institute, Helsinki, Finland 21
Correspondence to: Aikaterini Bougiatioti ([email protected]), Athanasios Nenes 22 ([email protected]). 23
Abstract 24
The Southeast United States has experienced a different climate warming trend compared to other places 25
worldwide. Several hypotheses have been proposed to explain this trend, one being the interaction of 26
anthropogenic and biogenic aerosol precursors that synergistically promote aerosol formation, elevate cloud 27
droplet concentration and induce regional cooling. We examine these aerosol-cloud droplet links by 28
analyzing regional scale data collected onboard the NOAA WP-3D aircraft during the 2013 Southeast 29
Nexus (SENEX) campaign to quantify the sensitivity of droplet number to aerosol number, chemical 30
composition and vertical velocity on a regional scale. The observed aerosol size distributions, chemical 31
composition and vertical velocity distribution (Gaussian with standard deviation σw) are introduced into a 32
state-of-the-art cloud droplet parameterization to show that cloud maximum supersaturations in the region 33
are low, ranging from 0.02 to 0.52% with an average of 0.14±0.05%. Based on these low values of 34
supersaturation, the majority of activated droplets correspond to particles of diameter 90 nm and above. 35
Droplet number shows little sensitivity to total aerosol owing to their strong competition for water vapor. 36
Given, however, that σw exhibits considerable diurnal variability (ranging from 0.16 m s-1 during nighttime 37
to over 1.2 m s-1 during day), its covariance with total aerosol number (Na) during the same period amplifies 38
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predicted response in cloud droplet number (Nd) by 3 to 5 times. Therefore, correct consideration of vertical 39
velocity and its covariance with time and aerosol amount is important for fully understanding aerosol-cloud 40
interactions and the magnitude of the aerosol indirect effect. Datasets and analysis such as the one presented 41
here can provide the required constraints for addressing this important problem. 42
43
1. Introduction 44
Atmospheric particles (aerosols) interact with the incoming solar radiation through scattering and 45
absorption processes which tend to cool the Earth, especially over dark surfaces such as oceans and forests 46
(Brock et al., 2016a). Aerosols also act as cloud condensation nuclei (CCN) and subsequently form cloud 47
droplets and indirectly affect climate through modification of cloud radiative properties - an effect which 48
constitutes one of the most uncertain aspects of anthropogenic climate change (Seinfeld et al., 2016). 49
Studies often highlight the importance of constraining the aerosol size distribution, particle composition 50
and mixing state for predicting CCN concentrations (Cubison et al., 2008; Quinn et al., 2008). Model 51
assumptions often cannot consider the full complexity required to comprehensively compute CCN – which 52
together with other emissions and process uncertainties lead to CCN prediction errors that can be significant 53
(e.g., Fanourgakis et al., 2019). Owing to the sublinear response of cloud droplet number concentration (Nd) 54
to aerosol perturbations, prediction errors in CCN generally result in errors in Nd which are less than those 55
for CCN (Fanourgakis et al., 2019). The sublinear response arises because elevated CCN concentration 56
generally increases the competition of the potential droplets for water vapor; this in turn depletes 57
supersaturation and the Nd that can eventually form (Reutter et al., 2009; Bougiatioti et al., 2016; 58
Fanourgakis et al., 2019; Kalkavouras et al., 2019). A critically important parameter is the vertical velocity; 59
so important in fact that droplet number variability may be driven primarily by vertical velocity variations 60
(Kacarab et al., 2020; Sullivan et al., 2019). Compared to aerosols, vertical velocity is much less observed, 61
constrained and evaluated in aerosol-cloud interaction studies, hence may be a source of persistent biases 62
in models (Sullivan et al., 2019). 63
The Southeast United States (SEUS) presents a particularly interesting location for studying regional 64
climate change, as it has not considerably warmed over the past 100 years – except for the last decade 65
(Carlton et al., 2018; Yu et al., 2014; Leibensperger et al., 2012b). These trends are in contrast with the 66
trends observed in most locations globally (IPCC 2013), and several hypotheses have been proposed to 67
explain this regional phenomenon, including the effect of involving short-lived climate forcers such as 68
secondary aerosols combined with the enhanced humidity in the region and their impact on clouds (Carlton 69
et al., 2018; Yu et al., 2014). Here, we analyze data collected during the Southeast Nexus of Air Quality 70
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and Climate (SENEX) campaign in June-July 2013, which was the airborne component led by the National 71
Oceanic and Atmospheric Administration (NOAA), of a greater measurement campaign throughout the 72
SEUS, the Southeast Atmosphere Study (SAS; Carlton et al., 2018). Here we analyze data collected onboard 73
the NOAA WP-3D and apply a state-of-the-art droplet parameterization to determine the maximum 74
supersaturation and Nd achieved in cloudy updrafts, for all science flights with available number size 75
distribution and chemical composition data. We also determine the sensitivity of droplet formation to 76
vertical velocity and aerosol, with the purpose of understanding the drivers of droplet variability in the 77
boundary layer of the SEUS by obtaining regional-scale, representative values of the relationship between 78
the driving parameters and cloud droplet number. 79
80
2. Methods 81
2.1 Aircraft instrumentation 82
The analysis utilizes airborne, in situ data collected during the June-July 2013 SENEX mission, aboard the 83
National Oceanic and Atmospheric Administration (NOAA) WP-3D aircraft (typical airspeed ~100 m s-1) 84
based in Smyrna, Tennessee (36o00’32’’N, 86o31’12’’W). In total, twenty research flights were conducted. 85
Based on the availability of the relevant data described below, thirteen flights are analyzed in this work. 86
Description of the analyzed research flights are provided in Table 1. Detailed information on the 87
instrumentation and measurement strategy during the SENEX campaign can be found in Warneke et al. 88
(2016). 89
Dry particle number distributions from 4 - 7000 nm were measured using multiple condensation and optical 90
particle counters. 4-700 nm particles were measured by a nucleation mode aerosol size spectrometer 91
(NMASS; Warneke et al., 2016) and an ultra-high sensitivity aerosol spectrometer (UHSA; Brock et al., 92
2011), while for larger particles with dry diameters between 0.7 and 7.0 μm, a custom-built white-light 93
optical particle counter (WLOPC) was used. 94
Measurements of the composition of submicron vacuum aerodynamic diameter non-refractory aerosol (less 95
than 0.7 μm diameter) were made with a Compact Time-of-Flight Aerosol Mass Spectrometer (C-ToF-96
AMS; Aerodyne, Billerica, Massachesetts, US) (Canagaratna et al., 2007; Kupc et al., 2018) customized 97
for aircraft use, with a 10 s time resolution (Warneke et al., 2016). Particles entering the instrument are 98
focused and impacted on a 600 oC inverted-cone vaporizer. The volatilized vapors are analyzed by electron 99
ionization mass spectrometry, providing mass loadings of sulfate, nitrate, organics, ammonium and 100
chloride. For the C-ToF-AMS, the transmission efficiency of particles between 100 and 700 nm is assumed 101
to be 100% through the specific aerodynamic focusing lens used while mass concentrations are calculated 102
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using a chemical composition-dependent collection efficiency (Middlebrook et al., 2012; Wagner et al., 103
2015). The C-ToF-AMS only measures non-refractory aerosol chemical composition, therefore this 104
analysis provides mass loadings of sulfate, nitrate, ammonium and organic constituents with a 10 s time 105
resolution and neglects the contribution of black carbon (BC). The calculation of the average volume 106
fractions from the mass loading follows that of Moore et al. (2012). An average organic density of 1.4 g 107
cm-3 is used, characteristic of aged aerosol (Moore et al., 2011; Lathem et al., 2013) while for the inorganic 108
species the respective densities are used, assuming the aerosol to be internally mixed. 109
The aircraft was equipped by the NOAA Aircraft Operations Center (AOC) flight facility, incorporating a 110
suite of instruments to provide information on exact aircraft position as well as numerous meteorological 111
parameters (Warneke et al., 2016). The analysis in this work makes use of vertical wind velocity, aircraft 112
radar altitude, and ambient temperature, pressure and relative humidity (RH) provided by NOAA AOC. 113
Location of the instrumentation on the aircraft can be found elsewhere (Warneke et al., 2016). For 114
measurements inside the fuselage a low turbulence inlet (Wilson et al., 2004) and sampling system (Brock 115
et al., 2011; 2016a) was used to decelerate the sample flow to the instruments. The C-ToF-AMS was 116
connected downstream of an impactor with 50% efficiency at a 1.0 μm aerodynamic diameter (PM1) cut-117
point (Warneke et al., 2016). 118
2.2 Aerosol hygroscopicity parameter 119
The aerosol hygroscopicity parameter (Petters and Kreidenweis, 2007), κ, is calculated assuming a mixture 120
of an organic and inorganic component with volume fraction εorg, εinorg and characteristic hygroscopicity 121
κorg, κinorg, respectively (κ=εinorgκinorg+εorgκorg). The organic and inorganic volume fraction are derived from 122
the C-ToF-AMS data. Since throughout the summertime SEUS, aerosol inorganic nitrate mass and volume 123
fraction are very low (Weber et al., 2016; Fry et al., 2018), κinorg =0.6, representative for ammonium sulfate, 124
is used. For the organic fraction, a hygroscopicity value of κorg=0.14 is used, based on concurrent 125
measurements conducted at the ground site of the SAS at the rural site of Centreville, Alabama (Cerully et 126
al., 2015). This value is also in accordance with the cumulative result of studies conducted in the Southeast 127
US using measurements of droplet activation diameters in subsaturated regimes, providing κorg of > 0.1 128
(Brock et al., 2016a). 129
2.3 Cloud droplet number and maximum supersaturation 130
Using the observed aerosol number size distribution (1 s time resolution) and the hygroscopicity derived 131
from the chemical composition measurements (10 s time resolution), we calculate the droplet number (Nd) 132
and maximum supersaturation (Smax) that would form in clouds in the airmasses sampled. Droplet number 133
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and maximum supersaturation calculations are carried out at a regional scale using an approach similar to 134
that of Bougiatioti et al. (2016) and Kalkavouras et al. (2019) with the sectional parameterization of Nenes 135
and Seinfeld (2003), later improved by Barahona et al. (2010) and Morales Betancourt and Nenes (2014a). 136
A sectional representation of the size distribution is used and provided for each data point of each flight 137
(per second, e.g. for Flight 5, n=23213 data points). Given that chemical composition is provided with a 10 138
s time resolution, the same hygroscopicity values are used for 10 size distributions during each flight. 139
Temperature and pressure required for droplet number calculations are obtained from the NOAA AOC 140
flight facility dataset. 141
Droplets form from activation of aerosol in cloudy updrafts, so here we use the available measurements of 142
vertical velocity together with the aerosol measurements to derive a potential cloud droplet concentration. 143
Given that vertical velocity varies considerably inside the boundary layer we represent droplet number with 144
the average concentration that results from integrating over the distribution (probability density function, 145
PDF) of observed updraft velocities. To accomplish this, each flight is divided in segments where the 146
aircraft flew at a constant height. For each segment, the positive vertical velocities are fit to a Gaussian 147
distribution with mean of zero and width of spectral dispersion σw. Positive vertical velocities (“updrafts”) 148
were used, as they are the part of the vertical velocity spectrum that is responsible for cloud droplet 149
formation. The σw values derived from the level leg segments are then averaged into one single σw value 150
(and standard deviation) to represent the flight. Application of the “characteristic velocity” approach 151
(Morales and Nenes, 2010) then gives the PDF-averaged droplet number concentration by calling the 152
droplet parameterization at a single “characteristic” velocity, w*=0.79σw (Morales and Nenes, 2010). This 153
calculation approach is applied to each size distribution measured. Apart from its theoretical basis, this 154
methodology has shown to provide closure with observed droplet numbers in ambient clouds (e.g. Kacarab 155
et al., 2020). 156
In determining σw, we consider segments that are expected to be in the boundary layer: 91 % of the segments 157
are below 1000 m (mean altitude ~700 m; Table 2) typically corresponding to the height of the boundary 158
layer in the summertime US (Seidel et al., 2013). The vertical velocity distributions observed gave σw 159
=0.97±0.21 m s-1 for daytime flights, and σw =0.23±0.04 m s-1 for nighttime flights (Table 2). Because of 160
this strong diurnal variation in σw, potential droplet formation is evaluated at four vertical velocities that 161
cover the observed ranged, namely 0.1, 0.3, 0.6 and 1 m s-1. 162
We also compute the sensitivity of the derived Nd, to changes in aerosol number concentration (Na), κ and 163
σw, expressed by the partial derivatives Nd/Na, Nd/κ and Nd/σw computed from the parameterization 164
using a finite difference approximation (Bougiatioti et al., 2016; Kalkavouras et al., 2019). These 165
sensitivities, together with the observed variance in Na, κ, and σw are also used to attribute droplet number 166
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variability to variations in the respective aerosol and vertical velocity parameters following the approach 167
of Bougiatioti et al. (2016) and Kalkavouras et al. (2019). 168
169
3. Results and Discussion 170
3.1. Particle composition and size distribution 171
For the determination of the different aerosol species present, neutral and acidic sulfate species are 172
distinguished by the molar ratio of ammonium to sulfate ions. A molar ratio higher than 2 indicates the 173
presence of only ammonium sulfate, while values between 1 and 2 indicate the presence of both ammonium 174
sulfate and bisulfate (Seinfeld and Pandis, 1998). For most of the flights, the molar ratio of ammonium 175
versus sulfate was well above 2, having a mean value of 2.41±0.72 (median 2.06). For the nighttime flights 176
the values were somewhat lower (1.91±0.42 and median of 1.85, respectively). Nevertheless, ammonium 177
sulfate is always the predominant sulfate salt. Organic mass fractions for the SENEX research flights are 178
provided in Table 1. Overall, organic aerosol was found to dominate during all flights, contributing 66%-179
75% of the total aerosol volume. Most of the remaining aerosol volume consists of ammonium sulfate, 180
ranging from 12%-39% (with a mean of 23%±6%). The organic mass fraction during the flights was found 181
to decrease with height (see Fig. 1). This vertical variability of the chemical composition can have a strong 182
impact on droplet number within the boundary layer, as air masses from aloft may descend and interact 183
with that underneath. Figure 1 represents the organic mass fractions during Flights 5 and 12. The lowest 184
organic mass fractions overall were observed during Flight 12 (35%±18% with values < 5% for altitudes 185
>3000 m, Fig.1b) while the highest ones were observed at flights over predominantly rural areas (Flights 5 186
(Fig. 1c) , 10 and 16). During Flight 5 the organic mass fraction was high (68%±5%), with the highest 187
values found in the free troposphere at altitudes > 3000 m. High organic mass fractions were also found 188
during a nighttime flight that included portions of the Atlanta metropolitan area, with values up to 78%. 189
The impact of the chemical variability on droplet number is discussed in section 3.2. 190
The predominance of the organic fraction is also reflected in the hygroscopicity parameter values, with an 191
overall κ = 0.25±0.05, which is close to the proposed global average of 0.3 (Seinfeld and Pandis, 1998). 192
The highest values are, as expected, for flights exhibiting the lowest organic mass fraction, namely Flight 193
12 with a κ = 0.39 (Table 2). The rest of the κ-values are close to the overall values, as the organic mass 194
fractions are around 0.65. 195
Median aerosol size distributions are obtained from the median and interquartile range in each size bin from 196
the aerosol size distribution measurements during segments where the aircraft flew at a constant height. 197
The impact of the variability of the total aerosol number on droplet number is discussed in detail further in 198
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section 3.2. Overall, number concentrations ranged from around 500 to over 100000 cm-3 with number size 199
distributions varying markedly over the course of a flight. In general, free tropospheric distributions 200
exhibited characteristics of a bimodal distribution with a prominent broad accumulation mode peak (80-201
200 nm) and an Aitken mode peak (30-60 nm) (Fig. 2a) while boundary layer size distributions exhibited a 202
more prominent accumulation mode (Fig. 2b). There was considerable variability in the contributions of 203
the nucleation, Aitken, and accumulation modes to the total aerosol number, depending on altitude and 204
proximity to aerosol sources (Fig. 2c). Nevertheless, the modal diameters did not vary much. Distributions 205
during nighttime flights exhibited similar total aerosol number and variability; nevertheless, size 206
distributions were more complex exhibiting even three different modes (20-40, 70-100 and 130-200 nm; 207
Fig. 2d). Considering that mostly particles in the accumulation mode activate into cloud droplets (particles 208
with diameters >90 nm), contrasts between day and nighttime aerosol characteristics/variability may not be 209
as large, and driven primarily by the total aerosol number in the accumulation mode. 210
3.2 Potential cloud droplet number 211
The calculation of Nd and Smax, was carried out for all thirteen research flights. Results are given in Tab. 3 212
for the four different values (0.1, 0.3, 0.6 and 1 m s-1) of σw. Overall it can be seen that for all flight 213
conditions and for low σw, Nd shows a low variance (mean of 132±20 for 0.1 m s-1 and 350±100 for 0.3 m 214
s-1). For a given σw, the variance of Nd is predominantly attributed to relative changes in Na rather than 215
changes in the chemical composition (expressed by changes in the hygroscopicity parameter, κ). The 216
highest relative contribution of the chemical composition (12% and 35% for 0.1 and 0.3 m s-1, respectively) 217
to the variation of Nd is found for Flight 18, during which the total aerosol number was the lowest. Indicative 218
of a “cleaner” environment; the organic mass fraction was relatively lower and the hygroscopicity 219
parameter was higher. Even though the lowest organics mass fraction and highest κ were observed during 220
Flight 12, droplet formation is much more sensitive to changes in aerosol concentration than to variations 221
in composition. 222
As the vertical velocity increases, so does supersaturation and consequently the droplet number (by 62% 223
from 0.1 to 0.3 m s-1, 70% from 0.3 to 0.6 m s-1 and another 39% from 0.6 to 1 m s-1). The relative 224
contribution of the chemical composition to the variation of cloud droplet number increases from 5±3% for 225
0.1 m s-1, to 12.3±8% for 0.3 m s-1, to 14.5±10% for 0.3 m s-1 and 16.5±9% for 1 m s-1. The highest droplet 226
numbers are estimated for Flights 6 and 10, which included urban environments during daytime (Atlanta). 227
Overall during daytime, when σw varies little and is large, and Na is high, the relative contribution of Na to 228
the variation of Nd is the highest (more than 90%) while the relative contribution of κ is limited (less than 229
10%) (see Table 3, Flights 10, 11, 12, 17 and 19). Turbulence is limited during nighttime when σw is the 230
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lowest (0.23±0.04); therefore, the σw = 0.3 m s-1 case is most representative of nighttime conditions. During 231
daytime, when σw is high (0.97±0.21), σw = 1 m s-1 should be considered as most representative. 232
As σw varies considerably throughout the day, we estimate its contribution together with variations in Na 233
and κ, to the total variability in Nd based on Nd/κ, Nd/Na and Nd/σw and the variances of κ, Na and σw 234
(Table 4). The σw variation during nighttime, although small (always less than 10%), consistently remains 235
an important contributor to Nd variability, because droplet formation tends to be in the updraft velocity-236
limited regime. At higher values of σw (Table 4), the contribution of σw variability to Nd variability is reduced 237
and dominated by Na variability. 238
To explore the importance of aerosol compared to updraft velocity, we focus on two pairs of flights 239
conducted in two sectors, from each sector one during day- and one during night-time (see Fig.3). In both 240
pairs of flights (Flight 5 and 15, and Flight 6 and 9), σw varies about the same between night and day (Table 241
4). For the first pair of flights, the daytime variability in Nd (which is 69%) is to within 75% driven by 242
aerosol (69% by Na and 7% from κ) and 24% by σw. For nighttime, 58% by aerosol (51% by Na and 7% 243
from κ) and 42% of the variability is driven by σw. For the second pair of night/day flights, Na is on average 244
similar, σw varies by a factor of 4.0 and κ varies by 13%. Attribution calculations suggest that the diurnal 245
variability in Nd (where daytime values are 72.1% higher than nighttime) is 3, 54 and 43% for κ, Na and σw, 246
respectively during day and 7, 76, and 17% driven by κ, Na and σw, respectively during night (Table 4). In 247
the second sector, 57% of the variability in Nd is driven by aerosol during the day and 83% during the night. 248
As expected, droplet number (Nd) and maximum supersaturation (Smax) increases as σw becomes larger. The 249
highest Smax are around 0.2-0.3% and found for flights which exhibited large and highly variable σw (Flights 250
4, 5, 12 and 19) while the lowest Smax are around 0.10% and found for the nighttime flights (Flights 9, 15 251
and 16). All other flights yield similar Smax, which are around 0.13%. Based on the calculated Smax for every 252
flight, the majority of the activated droplets correspond to particles of 90 nm diameter and above. Figure 3 253
presents the calculated Nd for the four aforementioned flights, namely Fights 5 (Fig. 3a), 15 (Fig. 3b), 6 254
(Fig. 3c) and 9 (Fig. 3d) using the observed σw. The size of the markers represents the number of droplets, 255
while the color scale the respective total aerosol number. 256
Figure 4 shows Nd relative to Na for flights conducted in two sectors, during day and night (Flights 5 & 15, 257
and Flights 6 & 9, respectively). It can be seen that throughout these flights, Nd reaches a plateau, where 258
any additional aerosol does not translate to any significant increase in Nd. This plateau is caused by strong 259
water vapor limitations and is different for day and night. Smax is lower during night because vertical wind 260
velocity, ambient T and RH are lower. The same factors cause that for Flight 6 & 9 (Fig. 4c & d) where Na 261
was almost the same, Nd is almost 3.5 times lower during night (Flight 9). For the whole dataset (13 flights), 262
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results are summarized in Figure 5, where droplet numbers are calculated based on the observed σw and the 263
respective “characteristic”, mean velocities, w*. Under low w* conditions, Na variability does not result in 264
an important change in Nd. On the contrary, when w* tends to increase and Na increases, as is characteristic 265
of polluted regions, during daytime, then the impact on droplet number is more notable. This point is evident 266
in Figure 6, comprising the different segments of the flights when the aircraft sampled at practically the 267
same altitude within the boundary layer. It can be seen that Na is enhanced as w* increases. The lowest w* 268
values (shaded area) correspond to the segments of the flights during nighttime. 269
Overall, Smax of clouds from all the evaluated SENEX data, is 0.14±0.05%. Tripling σw from 0.1 to 0.3 m s-270
1 results in 31% increase in Smax, while doubling from 0.3 to 0.6 m s-1 results in 26.2% increase in Smax and 271
a further σw increase to 1 m s-1 leads to an additional 20.7% increase in Smax. Overall effect of updraft 272
velocity on calculated Nd: tripling σw from 0.1 to 0.3 m s-1 results in a 61.9% increase in Nd, doubling from 273
0.3 to 0.6 m s-1 results in a 40.5% Nd increase; increasing σw to 1 m s-1 leads to an additional 26.9% increase 274
in Nd. Furthermore, for a given σw, despite of the presence or not of a large number of aerosol (e.g. Flight 275
10 where Na is 2.7 times higher than Na in Flight 15) the difference in calculated Nd for 0.6 m s-1 is only 1.3 276
times higher for Flight 10 than Flight 15. This highlights the relative insensitivity of Nd to variations in Na 277
for constant σw. 278
279
4. Summary and Conclusions 280
Measurements of wind velocity, ambient conditions (T, RH), aerosol number size distribution and 281
composition in the SEUS obtained during the SENEX 2013 project are used to analyze the drivers of droplet 282
formation. Overall 13 research flights are studied, covering environments over sectors with different aerosol 283
sources, impacting total aerosol number, size distribution and chemical composition. Aerosol volume is 284
largely dominated by an organic fraction resulting in a calculated hygroscopicity of 0.25±0.05. 285
Based on the calculation of cloud droplet number concentration (Nd) and maximum supersaturation (Smax), 286
we find that on a regional scale, most of the variability of Nd is due to the fluctuations in Na (Table 4), in 287
accordance with other recent studies (Fanourgakis et al., 2019). Nonetheless, Nd levels are also sensitive to 288
fluctuations in σw, as a variation by a factor of 4.0 in σw may lead to an Nd variation of almost a factor of 289
3.6 and at the same time the Nd response to different Na levels may be enhanced by a factor of 5 (Figure 4). 290
Smax changes in response to aerosol concentration, in a way that tends to partially mitigate Nd responses to 291
aerosol. Overall, maximum supersaturation levels remain quite low (0.14±0.05%) with predicted levels 292
being much lower in lower altitudes (0.05±0.1%). Because of the strong competition for water vapor 293
(expressed by the low Smax), cloud droplet number exhibits enhanced sensitivity to aerosol number 294
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variations throughout the flights, regardless of aerosol composition. On the other hand, droplet 295
concentration especially within the boundary layer approaches a “plateau” that is strongly driven by vertical 296
velocity (turbulence) and the resulting supersaturation, but also aerosol concentration. In “cleaner” 297
environments where total aerosol number is lower, the relative contribution of vertical velocity to cloud 298
droplet number is almost half during nighttime (24% vs. 42% during daytime) while the relative 299
contribution of Na to the variance in Nd is somewhat higher (69% vs. 51% during daytime) even though Na 300
is 2-fold lower during night. On the contrary, in environments with elevated concentrations of 301
accumulation-mode particles, the majority of cloud droplet number variations (54% during nighttime vs. 302
76% during daytime) can be attributed to changes in total aerosol number and to a lesser extent to vertical 303
velocity (43% during nighttime vs. 17% during daytime). The relative contribution of the total aerosol 304
number to the cloud droplet number dominates over variations in chemical composition (expressed by κ). 305
There are cases however where chemical composition variability contributes a non-negligible (~9%) 306
contribution to droplet number variability. 307
Overall, our results show that atmospheric dynamics is a key driver of cloud droplet formation and its 308
variability in the region. Especially in cases when the boundary layer turbulence is low (e.g. during 309
nighttime), low vertical velocity, generating only small supersaturation, can be as important a contributor 310
to droplet number variability as aerosol number. For cases with high vertical velocities and high aerosol 311
number concentration, it is the aerosol concentration that dominates the variability in cloud droplet number. 312
On average, the two variables (Na and σw) contribute almost equally to the variability in cloud droplet 313
number concentration (Nd) and together account for more than 90% of variability. This finding is consistent 314
with recent modeling studies noting the importance of vertical velocity variability as a driver of the temporal 315
variability of global hydrometeor concentration (Morales Betancourt and Nenes, 2014b; Sullivan et al., 316
2016). Furthermore, the Nd enhancement from changes in Na is magnified up to 5 times from concurrent 317
changes in σw. A similar situation has also been observed in smoke-influenced marine boundary layers in 318
the S.Atlantic (Kacarab et al., 2020). Altogether, these findings carry important implications for model 319
assessments of aerosol indirect climate forcing (e.g., Leibensperger et al., 2012a) and aerosol-cloud 320
interaction studies using remote sensing, as patterns of cooling (although consistent with aerosol and cloud 321
fields) may omit the covariance of vertical velocity with aerosol number, therefore neglecting this important 322
driver of hydrometeor variability. 323
Data Availability: The data used in this study can be downloaded from the NOAA public data repository 324
at https://www.esrl.noaa.gov/csd/projects/senex/. The Gaussian fits used for determining σw and the droplet 325
parameterization used for the calculations in the study are available from [email protected] upon 326
request. 327
https://doi.org/10.5194/acp-2020-225Preprint. Discussion started: 17 March 2020c© Author(s) 2020. CC BY 4.0 License.
11
Author Contributions: conceptualization, A.B. and A.N.; methodology, A.B. and A.N.; software, A.N.; 328
formal analysis, A.B. and A.N.; investigation, A.B., A.N. and J.J.L.; data curation, A.B., J.J.L., C.B., J.A.G., 329
J.L., A.M.M., A.W.; writing—original draft preparation, A.B. and A.N.; writing—review and editing, A.B., 330
A.N., J.J.L., C.B., A.W., additional comments by A.M.M.; visualization, A.B. A.N. and J.J.L.; supervision, 331
A.N.; project administration, A.N.; funding acquisition, A.N. 332
Funding: This study was supported by the Environmental Protection Agency STAR Grant R835410, the 333
Action “Supporting of Postdoctoral Researchers” of the Operational Program “Education and Lifelong 334
Learning” (action’s beneficiary: General Secretariat for Research and Technology) and is co-financed by 335
the European Social Fund (ESF) and the Greek State. We also acknowledge funding from the European 336
Research Council, CoG-2016 project PyroTRACH (726165) funded by H2020-EU.1.1. – Excellent 337
Science. 338
Conflicts of Interest: The authors declare no conflict of interest. 339
340
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17
Table 1: Research flights from SENEX 2013 used in this study. 501
Flight Date Local Time
(CDT, UTC-5 hrs)
κ Organic mass
fraction
4 10/6 09:55-16:30 0.23±0.02 0.62±0.11
5 11/6 11:30-17:57 0.20±0.00 0.68±0.05
6 12/6 09:48-15:31 0.21±0.01 0.68±0.07
9 19/6 17:30-23:29 0.24±0.01 0.66±0.06
10 22/6 10:01-17:09 0.21±0.02 0.68±0.08
11 23/6 10:08-17:22 0.25±0.03 0.58±0.07
12 25/6 10:18-17:25 0.39±0.02 0.35±0.18
14 29/6 10:26-17:39 0.22±0.03 0.62±0.07
15 2/7 20:08-02:51 0.28±0.05 0.55±0.09
16 3/7 19:56-02:55 0.22±0.05 0.67±0.09
17 5/7 09:52-16:24 0.23±0.05 0.59±0.14
18 6/7 09:19-16:18 0.31±0.02 0.52±0.08
19 8/7 10:11-16:44 0.23±0.04 0.62±0.08
502
503
504
https://doi.org/10.5194/acp-2020-225Preprint. Discussion started: 17 March 2020c© Author(s) 2020. CC BY 4.0 License.
18
Table 2: Flight number, time interval, spectral dispersion of vertical wind velocity (σw) and characteristic 505 vertical velocity w*=0.79σw during flight segments where the aircraft flew at a constant altitude. 506
Flight
(pass)
Time
Range σw
(m s-1)
w*
(m s-1)
Altitude (m) Flight
(pass)
Time
Range
σw
(m s-1)
w*
(m s-1)
Altitude (m)
5 (1) 12:31-12:58 1.02 0.81 549± 58 9 (1) 18:44-18:58 0.255 0.202 797±2.01
5 (2) 13:16-13:29 0.82 0.65 982±11 9 (2) 19:20-19:29 0.249 0.197 740±1.23
5 (3) 13:34-13:50 1.01 0.80 502±13 9 (3) 19:33-19:48 0.217 0.171 740±1.23
5 (4) 13:53-14:08 1.03 0.81 614±27 9 (4) 19:51-20:25 0.218 0.173 776±1.22
5 (5) 14:20-15:00 0.91 0.72 603±40 9 (5) 20:34-20:39 0.232 0.183 597±1.19
5 (6) 15:35-15:41 0.87 0.69 533±18 9 (7) 20:56-21:10 0.201 0.158 773±1.11
5 (7) 16:17-16:30 0.77 0.61 638±23 9 (8) 21:31-21:45 0.191 0.151 725±1.18
5 (8) 16:31-16:39 0.55 0.44 559±18 9 (9) 22:24-22:31 0.257 0.203 745± 1.36
5 (9) 17:10-17:22 0.53 0.42 686±40 9 (10) 22:48-22:54 0.221 0.175 804± 1.37
14 (1) 12:34-12:49 0.94 0.75 558±2 15 (1) 21:09-21:52 0.236 0.186 505±6.64
14 (2) 13:57-14:17 0.97 0.77 658±3 15 (2) 22:19-22:31 0.301 0.238 633±1.21
14 (3) 14:22-14:46 0.95 0.75 737±3 15 (3) 22:42-22:54 0.255 0.202 600±1.17
14 (4) 14:58-15:33 0.55 0.43 746±23 15 (4) 23:26-23:37 0.329 0.260 908±1.56
14 (5) 15:55-16:08 0.57 0.45 714±3 15 (5) 00:02-00:19 0.297 0.235 1208±1.23
14 (6) 16:11-16:21 0.77 0.61 801±3 15 (6) 00:43-1:08 0.253 0.199 592±1.37
14 (7) 16:33-16:41 0.45 0.35 793± 2 15 (7) 1:10-1:24 0.276 0.218 676±1.02
15 (8) 1:37-2:02 0.207 0.164 713±19.5
12 (1) 11:50-12:34 0.96 0.75 484±3 19 (1) 11:20-11:41 0.622 0.492 1014±2.27
12 (2) 12:48-13:18 1.09 0.86 503±3 19 (2) 12:09-12:23 1.203 0.95 652±3.34
12 (3) 13:34-13:50 1.12 0.88 894±3 19 (3) 12:51-13:10 0.873 0.689 537±2.51
12 (4) 14:06-14:40 1.04 0.82 479±4 19 (4) 13:22-13:49 1.294 1.022 518±22.6
12 (5) 15:21-15:32 1.10 0.87 521±3 19 (5) 14:44-14:57 1.361 1.075 528±3.26
12 (6) 15:43-16:02 0.99 0.78 475±3 19 (6) 15:04-16:06 0.896 0.708 524±2.8
507
508
https://doi.org/10.5194/acp-2020-225Preprint. Discussion started: 17 March 2020c© Author(s) 2020. CC BY 4.0 License.
19
Table 3: Derived cloud parameters (maximum supersaturation, droplet number) and relative contribution of chemical composition and total 509 aerosol number for different vertical velocities. Numbers in parentheses indicate standard deviation values. 510
511
Flight Na Na
variab
σw=0.1 m s-1 σw=0.3 m s-1 σw=0.6 m s-1 σw=1.0 m s-1
Smax Nd Cont
κ
Cont
Νa
Smax Nd Cont
κ
Cont
Νa
Smax Nd Cont
κ
Cont
Νa
Smax Nd Cont
κ
Cont
Νa
4 6118 4520 0.11
(0.06)
122
(41)
0.08 0.92 0.16
(0.09)
315
(114)
0.20 0.80 0.21
(0.12)
520
(212)
0.23 0.77 0.26
(0.17)
737
(321)
0.2 0.8
5 4324 2598 0.08
(0.04)
139
(31)
0.09 0.91 0.1
(0.06)
388
(104)
0.15 0.85 0.14
(0.08)
712
(216)
0.17 0.83 0.17
(0.1)
1063
(360)
0.21 0.79
6 4958
3054 0.07
(0.07)
151
(24)
0.03 0.97 0.08
(0.04)
422
(70)
0.11 0.89 0.1
(0.06)
773
(171)
0.08
0.92 0.13
(0.07)
1162
(302)
0.07 0.93
9 4271 3095 0.07
(0.02)
152
(18)
0.05 0.95 0.12
(0.04)
367
(68)
0.17 0.83 0.16
(0.05)
533
(115)
0.17 0.83 0.19
(0.06)
680
(126)
0.12 0.88
10 6286 7201 0.07
(0.03)
158
(24)
0.02 0.98 0.1
(0.05)
422
(86)
0.02 0.98 0.14
(0.07)
748
(180)
0.04 0.96 0.18
(0.08)
1063
(295)
0.09 0.91
11 5969 7271 0.04
(0.01)
137
(19)
0.01 0.99 0.06
(0.01)
381
(61)
0.04 0.96 0.08
(0.02)
695
(134)
0.03
0.97 0.10
(0.02)
1025
(226)
0.03 0.97
12 3154 5150 0.06
(0.03)
110
(45)
0.03 0.97 0.1
(0.04)
274
(117)
0.05 0.95 0.14
(0.04)
404
(179)
0.08 0.92 0.17
(0.05)
486
(207)
0.07 0.93
14 5564 5891 0.07
(0.02)
118
(41)
0.05 0.95 0.10
(0.03)
328
(125)
0.17 0.83 0.13
(0.04)
590
(240)
0.25 0.75 0.16
(0.05)
842
(361)
0.27 0.73
15 2328 1428 0.05
(0.01)
135
(22)
0.03 0.97 0.09
(0.02)
339
(67)
0.12 0.88 0.12
(0.02)
557
(137)
0.21 0.79 0.16
(0.03)
717
(203)
0.3
0.7
16 3440 4507 0.08
(0.06)
158
(37)
0.03 0.97 0.12
(0.1)
403
(120)
0.06 0.94 0.17
(0.13)
670
(235)
0.07 0.93 0.23
(0.16)
917
(374)
0.1 0.9
17 3813 4645 0.05
(0.02)
129
(41)
0.06 0.94 0.07
(0.03)
342
(130)
0.1 0.9 0.1
(0.04)
593
(248)
0.06 0.94 0.13
(0.05)
841
(371)
0.06
0.94
18 1925 983 0.08
(0.04)
90
(58)
0.12 0.88 0.12
(0.05)
233
(157)
0.35 0.65 0.15
(0.06)
379
(262)
0.37 0.63 0.19
(0.07)
499
(346)
0.27
0.73
19 4323 7261 0.06
(0.02)
121
(33)
0.02 0.98 0.08
(0.02)
314
(96)
0.06 0.94 0.12
(0.03)
526
(177)
0.11 0.89 0.15
(0.03)
670
(249)
0.13 0.87
512
513
https://doi.org/10.5194/acp-2020-225Preprint. Discussion started: 17 March 2020c© Author(s) 2020. CC BY 4.0 License.
20
Table 4: Derived Smax, Nd, σw for all research flights along with the estimated contribution of each 514 parameter to the variability of the droplet number. 515
Flight σw
(m s-1)
𝚫𝝈𝒘𝝈𝒘
Smax
(%)
Nd
(cm-3)
𝚫𝑵𝒅𝑵𝒅
Contrib.
κ
Contrib.
Na
Contrib.
σw
4 1.03±0.25 0.243 0.29±0.19 707±343 0.485 4% 79% 17%
5 0.97±0.1 0.103 0.17±0.10 1040±350 0.337 7% 69% 24%
6 0.94±0.18 0.191 0.13±0.07 1108±283 0.255 3% 54% 43%
9 0.23±0.02 0.043 0.10±0.03 309±51 0.165 7% 76% 17%
10 1.22±0.11 0.090 0.12±0.03 1177±271 0.230 1% 90% 9%
11 1.08±0.04 0.037 0.11±0.03 1082±242 0.224 1% 83% 16%
12 1.05±0.07 0.067 0.18±0.05 495±210 0.424 2% 96% 2%
14 0.85±0.2 0.024 0.15±0.04 761±321 0.422 9% 72% 19%
15 0.28±0.04 0.143 0.08±0.02 321±63 0.196 7% 51% 42%
16 0.20±0.04 0.200 0.10±0.08 289±79 0.273 2% 65% 33%
17 0.71±0.26 0.366 0.15±0.11 742±280 0.377 1% 71% 28%
18 0.90±0.06 0.067 0.31±0.18 538±325 0.604 7% 83% 10%
19 0.99±0.31 0.313 0.15±0.03 699±248 0.355 4% 88% 8%
516
https://doi.org/10.5194/acp-2020-225Preprint. Discussion started: 17 March 2020c© Author(s) 2020. CC BY 4.0 License.
21
(a) (b)
Figure 1: Spatial and vertical distribution of the organics mass fraction (a) for Flight 5 and (b) for Flight 517 12, denoting the difference in chemical composition, which in turn, may influence cloud droplet number 518 concentration. The color scale denotes the percentage of the organics mass fraction. 519
520
https://doi.org/10.5194/acp-2020-225Preprint. Discussion started: 17 March 2020c© Author(s) 2020. CC BY 4.0 License.
22
521
Figure 2: Average particle number size distributions for: (a) free tropospheric conditions, (b) within the 522 boundary layer, (c) for flights with high variability in total aerosol number, and (d) during nighttime flights. 523 Error bars represent the 75th percentile of the distributions within each pass. 524
525
14x103
12
10
8
6
4
2
0
dN
/dlo
gD
p (cm
-3)
4 5 6
102 3 4 5 6
1002 3 4 5 6
10002 3
Dp (nm)
Flight5 pass2 Flight11 pass6 Flight18 pass1 Fligh16 pass3
20x103
15
10
5
0
dN
/dlo
gD
p (
cm
-3)
4 5 6
102 3 4 5 6
1002 3 4 5 6
10002 3
Dp (nm)
Flight5 pass1 Flight6 pass2 Flight10 pass7 Flight14 pass1
25x103
20
15
10
5
0
dN
/dlo
gD
p (
cm
-3)
4 5 6
102 3 4 5 6
1002 3 4 5 6
10002 3
Dp (nm)
Flight4 pass2 Flight10 pass3 Flight11 pass1 Flight14 pass6
6000
5000
4000
3000
2000
1000
0
dN
/dlo
gD
p (cm
-3)
4 5 6
102 3 4 5 6
1002 3 4 5 6
10002 3
Dp (nm)
Flight16 pass1 Flight15 pass2 Flight9 pass4
(a) (b)
(c) (d)
https://doi.org/10.5194/acp-2020-225Preprint. Discussion started: 17 March 2020c© Author(s) 2020. CC BY 4.0 License.
23
(a)
(b)
(c)
(d)
526
Figure 3: Flight trajectories showing cloud droplet number (indicated by marker size (cm-3)) and total 527 aerosol number (indicated by marker color) for the observed characteristic vertical velocity (w*). (a) for the 528 Alabama sector during daytime (Flight 5) and (b) nighttime (Flight 15). (c) for Atlanta during daytime 529 (Flight 6) and (d) nighttime (Flight 9). Note that the data are plotted at less than 1 Hz in order to better show 530 the size and color of the markers. 531
532
533
534
535
536
https://doi.org/10.5194/acp-2020-225Preprint. Discussion started: 17 March 2020c© Author(s) 2020. CC BY 4.0 License.
24
(a)
(b)
(c)
(d)
537
Figure 4: Cloud droplet number vs. total aerosol number for the derived characteristic vertical velocity 538 (w*). (a) for the Alabama sector during daytime (Flight 5) and (b) nighttime (Flight 15). (c) for Atlanta 539 during daytime (Flight 6) and (d) nighttime (Flight 9). Data are colored by maximum supersaturation. 540
541
542
543
1400
1200
1000
800
600
400
200
Dro
ple
t num
ber
20x103151050
Naerosol (cm-3
)
0.50.40.30.20.1
Smax (%)
400
350
300
250
200
150
100
Dro
ple
t num
ber
1000080006000400020000
Naerosol (cm-3
)
0.50.40.30.20.1
Smax (%)
1400
1200
1000
800
600
400
200
Dro
ple
t num
ber
20x103151050
Naerosol (cm-3
)
0.50.40.30.20.1
Smax (%)
400
350
300
250
200
150
Dro
ple
t n
um
be
r
20x103151050
Naerosol (cm-3
)
0.50.40.30.20.1
Smax (%)
https://doi.org/10.5194/acp-2020-225Preprint. Discussion started: 17 March 2020c© Author(s) 2020. CC BY 4.0 License.
25
544
Figure 5: Average cloud droplet number vs. characteristic velocity during the 13 research flights, colored 545 by total aerosol number. Error bars represent the standard deviation of cloud droplet number during each 546 flight. The shaded area represents the flights conducted during nighttime. 547
548
549
1600
1400
1200
1000
800
600
400
200
0
Dro
ple
t n
um
ber
Nd (
cm
-3)
1.00.80.60.40.2
w* (m s
-1)
Flight 17
Nighttime Flights 9, 15 & 16
Flights 5 & 6
Flight 18Flight 12
Flight 11
Flight 10
Flights 4 & 19
Flight 14
60005000400030002000
Naerosol (cm-3
)
https://doi.org/10.5194/acp-2020-225Preprint. Discussion started: 17 March 2020c© Author(s) 2020. CC BY 4.0 License.
26
550
Figure 6: Total aerosol number vs. characteristic velocity during the segments of the flights when the 551 aircraft remained at a constant altitude within the boundary layer, colored by relative humidity. The shaded 552 area represents the segments of the flights conducted during nighttime. 553
554
https://doi.org/10.5194/acp-2020-225Preprint. Discussion started: 17 March 2020c© Author(s) 2020. CC BY 4.0 License.